0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n149.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:14:41 CST 2018
1.06/1.26	% done 494 iterations in 1.067s
1.06/1.26	% SZS status Theorem for 'stdin'
1.06/1.26	% SZS output start Refutation
1.06/1.27	tff(zf_stmt_7, axiom,
1.06/1.27	  (secondinupair <=>
1.06/1.27	   (![Xx,Xy]:
1.06/1.27	      app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xy),
1.06/1.27	                     app_encode_app($i,$i,
1.06/1.27	                                    app_encode_app($i,app_encode_fun($i,$i),
1.06/1.27	                                                   setadjoin,Xx),
1.06/1.27	                                    app_encode_app($i,$i,
1.06/1.27	                                                   app_encode_app($i,
1.06/1.27	                                                                  app_encode_fun(
1.06/1.27	                                                                  $i,$i),
1.06/1.27	                                                                  setadjoin,
1.06/1.27	                                                                  Xy),
1.06/1.27	                                                   emptyset)))))).
1.06/1.27	tff('0', plain,
1.06/1.27	    ![X4, X5]:
1.06/1.27	      (app_encode_app($i, $o, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, X5), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X4), 
1.06/1.27	             emptyset)))
1.06/1.27	       | ~ secondinupair),
1.06/1.27	    inference('cnf', [status(esa)], [zf_stmt_7])).
1.06/1.27	tff(zf_stmt_16, conjecture,
1.06/1.27	  (secondinupair =>
1.06/1.27	   (upairset2E =>
1.06/1.27	    (setukpairinjL2 =>
1.06/1.27	     (setukpairinjR1 =>
1.06/1.27	      (upairequniteq =>
1.06/1.27	       (![Xx,Xy,Xz,Xu]:
1.06/1.27	          ((app_encode_app($i,$i,
1.06/1.27	                           app_encode_app($i,app_encode_fun($i,$i),setadjoin,
1.06/1.27	                                          app_encode_app($i,$i,
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,
1.06/1.27	                                                         app_encode_fun(
1.06/1.27	                                                         $i,$i),setadjoin,Xx),
1.06/1.27	                                                         emptyset)),
1.06/1.27	                           app_encode_app($i,$i,
1.06/1.27	                                          app_encode_app($i,
1.06/1.27	                                                         app_encode_fun(
1.06/1.27	                                                         $i,$i),setadjoin,
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,$i,
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,
1.06/1.27	                                                         app_encode_fun(
1.06/1.27	                                                         $i,$i),setadjoin,Xx),
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,$i,
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,
1.06/1.27	                                                         app_encode_fun(
1.06/1.27	                                                         $i,$i),setadjoin,Xy),
1.06/1.27	                                                         emptyset))),
1.06/1.27	                                          emptyset)) =
1.06/1.27	            app_encode_app($i,$i,
1.06/1.27	                           app_encode_app($i,app_encode_fun($i,$i),setadjoin,
1.06/1.27	                                          app_encode_app($i,$i,
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,
1.06/1.27	                                                         app_encode_fun(
1.06/1.27	                                                         $i,$i),setadjoin,Xz),
1.06/1.27	                                                         emptyset)),
1.06/1.27	                           app_encode_app($i,$i,
1.06/1.27	                                          app_encode_app($i,
1.06/1.27	                                                         app_encode_fun(
1.06/1.27	                                                         $i,$i),setadjoin,
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,$i,
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,
1.06/1.27	                                                         app_encode_fun(
1.06/1.27	                                                         $i,$i),setadjoin,Xz),
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,$i,
1.06/1.27	                                                         app_encode_app(
1.06/1.27	                                                         $i,
1.06/1.27	                                                         app_encode_fun(
1.06/1.27	                                                         $i,$i),setadjoin,Xu),
1.06/1.27	                                                         emptyset))),
1.06/1.27	                                          emptyset))) =>
1.06/1.27	           (Xy = Xu))))))))).
1.06/1.27	tff(zf_stmt_0, negated_conjecture,
1.06/1.27	  (~
1.06/1.27	    (secondinupair =>
1.06/1.27	     (upairset2E =>
1.06/1.27	      (setukpairinjL2 =>
1.06/1.27	       (setukpairinjR1 =>
1.06/1.27	        (upairequniteq =>
1.06/1.27	         (![Xx,Xy,Xz,Xu]:
1.06/1.27	            ((app_encode_app($i,$i,
1.06/1.27	                             app_encode_app($i,app_encode_fun($i,$i),
1.06/1.27	                                            setadjoin,
1.06/1.27	                                            app_encode_app($i,$i,
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,
1.06/1.27	                                                           app_encode_fun(
1.06/1.27	                                                           $i,$i),setadjoin,
1.06/1.27	                                                           Xx),emptyset)),
1.06/1.27	                             app_encode_app($i,$i,
1.06/1.27	                                            app_encode_app($i,
1.06/1.27	                                                           app_encode_fun(
1.06/1.27	                                                           $i,$i),setadjoin,
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,$i,
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,
1.06/1.27	                                                           app_encode_fun(
1.06/1.27	                                                           $i,$i),setadjoin,
1.06/1.27	                                                           Xx),
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,$i,
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,
1.06/1.27	                                                           app_encode_fun(
1.06/1.27	                                                           $i,$i),setadjoin,
1.06/1.27	                                                           Xy),emptyset))),
1.06/1.27	                                            emptyset)) =
1.06/1.27	              app_encode_app($i,$i,
1.06/1.27	                             app_encode_app($i,app_encode_fun($i,$i),
1.06/1.27	                                            setadjoin,
1.06/1.27	                                            app_encode_app($i,$i,
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,
1.06/1.27	                                                           app_encode_fun(
1.06/1.27	                                                           $i,$i),setadjoin,
1.06/1.27	                                                           Xz),emptyset)),
1.06/1.27	                             app_encode_app($i,$i,
1.06/1.27	                                            app_encode_app($i,
1.06/1.27	                                                           app_encode_fun(
1.06/1.27	                                                           $i,$i),setadjoin,
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,$i,
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,
1.06/1.27	                                                           app_encode_fun(
1.06/1.27	                                                           $i,$i),setadjoin,
1.06/1.27	                                                           Xz),
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,$i,
1.06/1.27	                                                           app_encode_app(
1.06/1.27	                                                           $i,
1.06/1.27	                                                           app_encode_fun(
1.06/1.27	                                                           $i,$i),setadjoin,
1.06/1.27	                                                           Xu),emptyset))),
1.06/1.27	                                            emptyset))) =>
1.06/1.27	             (Xy = Xu)))))))))).
1.06/1.27	tff('1', plain, secondinupair, inference('cnf', [status(esa)], [zf_stmt_0])).
1.06/1.27	tff('2', plain,
1.06/1.27	    ![X4, X5]:
1.06/1.27	      (app_encode_app($i, $o, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $o), in, X4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, X5), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X4), 
1.06/1.27	             emptyset)))
1.06/1.27	       | ~ $true),
1.06/1.27	    inference('demod', [status(thm)], ['0', '1'])).
1.06/1.27	tff('3', plain,
1.06/1.27	    ![X4, X5]:
1.06/1.27	      app_encode_app($i, $o, 
1.06/1.27	        app_encode_app($i, app_encode_fun($i, $o), in, X4), 
1.06/1.27	        app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, X5), 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, X4), 
1.06/1.27	            emptyset))),
1.06/1.27	    inference('simplify', [status(thm)], ['2'])).
1.06/1.27	tff('4', plain,
1.06/1.27	    app_encode_app($i, $i, 
1.06/1.27	      app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	        app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	          emptyset)), 
1.06/1.27	      app_encode_app($i, $i, 
1.06/1.27	        app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	              emptyset))), emptyset))
1.06/1.27	     = app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	             emptyset)), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                   sk_Xu2), emptyset))), emptyset)),
1.06/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.06/1.27	tff('5', plain,
1.06/1.27	    app_encode_app($i, $o, 
1.06/1.27	      app_encode_app($i, app_encode_fun($i, $o), in, 
1.06/1.27	        app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	            emptyset))), 
1.06/1.27	      app_encode_app($i, $i, 
1.06/1.27	        app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)), 
1.06/1.27	        app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	              app_encode_app($i, $i, 
1.06/1.27	                app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	                emptyset))), emptyset))),
1.06/1.27	    inference('sup+', [status(thm)], ['4', '3'])).
1.06/1.27	tff(zf_stmt_9, axiom,
1.06/1.27	  (upairset2E <=>
1.06/1.27	   (![Xx,Xy,Xz]:
1.06/1.27	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xz),
1.06/1.27	                      app_encode_app($i,$i,
1.06/1.27	                                     app_encode_app($i,app_encode_fun($i,$i),
1.06/1.27	                                                    setadjoin,Xx),
1.06/1.27	                                     app_encode_app($i,$i,
1.06/1.27	                                                    app_encode_app($i,
1.06/1.27	                                                                   app_encode_fun(
1.06/1.27	                                                                   $i,$i),
1.06/1.27	                                                                   setadjoin,
1.06/1.27	                                                                   Xy),
1.06/1.27	                                                    emptyset))) =>
1.06/1.27	       ((Xz = Xx) | (Xz = Xy)))))).
1.06/1.27	tff('6', plain,
1.06/1.27	    ![X6, X7, X8]:
1.06/1.27	      (~ app_encode_app($i, $o, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X7), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, X8), 
1.06/1.27	               emptyset)))
1.06/1.27	       | X6 = X7
1.06/1.27	       | X6 = X8
1.06/1.27	       | ~ upairset2E),
1.06/1.27	    inference('cnf', [status(esa)], [zf_stmt_9])).
1.06/1.27	tff('7', plain, upairset2E, inference('cnf', [status(esa)], [zf_stmt_0])).
1.06/1.27	tff('8', plain,
1.06/1.27	    ![X6, X7, X8]:
1.06/1.27	      (~ app_encode_app($i, $o, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $o), in, X6), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X7), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, X8), 
1.06/1.27	               emptyset)))
1.06/1.27	       | X6 = X7
1.06/1.27	       | X6 = X8
1.06/1.27	       | ~ $true),
1.06/1.27	    inference('demod', [status(thm)], ['6', '7'])).
1.06/1.27	tff('9', plain,
1.06/1.27	    ![X6, X7, X8]:
1.06/1.27	      (X6 = X8
1.06/1.27	       | X6 = X7
1.06/1.27	       | ~ app_encode_app($i, $o, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $o), in, X6), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, X7), 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X8), 
1.06/1.27	                 emptyset)))),
1.06/1.27	    inference('simplify', [status(thm)], ['8'])).
1.06/1.27	tff('10', plain,
1.06/1.27	    (~ $true
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	              emptyset))),
1.06/1.27	    inference('sup-', [status(thm)], ['5', '9'])).
1.06/1.27	tff('11', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	         emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	            emptyset))
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)),
1.06/1.27	    inference('simplify', [status(thm)], ['10'])).
1.06/1.27	tff('12', plain,
1.06/1.27	    ![X0]:
1.06/1.27	      (~ app_encode_app($i, $o, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	               emptyset)))
1.06/1.27	       | app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	             emptyset))
1.06/1.27	          = app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	              emptyset)
1.06/1.27	       | X0 = sk_Xz4
1.06/1.27	       | X0 = sk_Xu2),
1.06/1.27	    inference('sup-', [status(thm)], ['11', '9'])).
1.06/1.27	tff('13', plain,
1.06/1.27	    (~ $true
1.06/1.27	     | sk_Xy5 = sk_Xu2
1.06/1.27	     | sk_Xy5 = sk_Xz4
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)),
1.06/1.27	    inference('sup-', [status(thm)], ['3', '12'])).
1.06/1.27	tff('14', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	         emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	          emptyset)
1.06/1.27	     | sk_Xy5 = sk_Xz4
1.06/1.27	     | sk_Xy5 = sk_Xu2),
1.06/1.27	    inference('simplify', [status(thm)], ['13'])).
1.06/1.27	tff('15', plain, sk_Xy5 != sk_Xu2,
1.06/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.06/1.27	tff('16', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	         emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	          emptyset)
1.06/1.27	     | sk_Xy5 = sk_Xz4),
1.06/1.27	    inference('simplify_reflect-', [status(thm)], ['14', '15'])).
1.06/1.27	tff('17', plain,
1.06/1.27	    ![X0]:
1.06/1.27	      (~ app_encode_app($i, $o, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                   sk_Xx5), emptyset)), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                 app_encode_app($i, $i, 
1.06/1.27	                   app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                     sk_Xx5), 
1.06/1.27	                   app_encode_app($i, $i, 
1.06/1.27	                     app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                       sk_Xy5), emptyset))), emptyset)))
1.06/1.27	       | X0
1.06/1.27	          = app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	              emptyset)
1.06/1.27	       | X0
1.06/1.27	          = app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	              app_encode_app($i, $i, 
1.06/1.27	                app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	                emptyset))),
1.06/1.27	    inference('sup-', [status(thm)], ['4', '9'])).
1.06/1.27	tff('18', plain,
1.06/1.27	    (~ $true
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	              emptyset))
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	            emptyset)),
1.06/1.27	    inference('sup-', [status(thm)], ['3', '17'])).
1.06/1.27	tff('19', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	         emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	          emptyset)
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	              emptyset))),
1.06/1.27	    inference('simplify', [status(thm)], ['18'])).
1.06/1.27	tff('20', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	         emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	          emptyset)
1.06/1.27	     | sk_Xy5 = sk_Xz4
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	            emptyset)),
1.06/1.27	    inference('sup+', [status(thm)], ['16', '19'])).
1.06/1.27	tff('21', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	       emptyset)
1.06/1.27	      != app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	           emptyset)
1.06/1.27	     | sk_Xy5 = sk_Xz4
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)),
1.06/1.27	    inference('eq_fact', [status(thm)], ['20'])).
1.06/1.27	tff('22', plain,
1.06/1.27	    (app_encode_app($i, $o, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $o), in, sk_Xy5), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	         emptyset))
1.06/1.27	     | sk_Xy5 = sk_Xz4
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         emptyset)
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset)),
1.06/1.27	    inference('sup+', [status(thm)], ['21', '3'])).
1.06/1.27	tff('23', plain,
1.06/1.27	    ![X0]:
1.06/1.27	      (~ app_encode_app($i, $o, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset))
1.06/1.27	       | sk_Xy5 = sk_Xz4
1.06/1.27	       | X0 = sk_Xz4
1.06/1.27	       | X0 = sk_Xu2),
1.06/1.27	    inference('sup-', [status(thm)], ['16', '9'])).
1.06/1.27	tff('24', plain,
1.06/1.27	    (~ $true
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         emptyset)
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset)
1.06/1.27	     | sk_Xy5 = sk_Xz4
1.06/1.27	     | sk_Xy5 = sk_Xu2
1.06/1.27	     | sk_Xy5 = sk_Xz4
1.06/1.27	     | sk_Xy5 = sk_Xz4),
1.06/1.27	    inference('sup-', [status(thm)], ['22', '23'])).
1.06/1.27	tff('25', plain,
1.06/1.27	    (sk_Xy5 = sk_Xu2
1.06/1.27	     | sk_Xy5 = sk_Xz4
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         emptyset)
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset)),
1.06/1.27	    inference('simplify', [status(thm)], ['24'])).
1.06/1.27	tff('26', plain,
1.06/1.27	    (sk_Xy5 = sk_Xz4
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         emptyset)
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset)),
1.06/1.27	    inference('simplify_reflect-', [status(thm)], ['25', '15'])).
1.06/1.27	tff('27', plain,
1.06/1.27	    (app_encode_app($i, $o, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $o), in, sk_Xu2), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	           emptyset)))
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)),
1.06/1.27	    inference('sup+', [status(thm)], ['11', '3'])).
1.06/1.27	tff('28', plain,
1.06/1.27	    (~ $true
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)
1.06/1.27	     | sk_Xu2 = sk_Xx5
1.06/1.27	     | sk_Xu2 = sk_Xy5),
1.06/1.27	    inference('sup-', [status(thm)], ['27', '9'])).
1.06/1.27	tff('29', plain,
1.06/1.27	    (sk_Xu2 = sk_Xy5
1.06/1.27	     | sk_Xu2 = sk_Xx5
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)),
1.06/1.27	    inference('simplify', [status(thm)], ['28'])).
1.06/1.27	tff('30', plain,
1.06/1.27	    (sk_Xu2 = sk_Xx5
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	           emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	            emptyset)),
1.06/1.27	    inference('simplify_reflect-', [status(thm)], ['29', '15'])).
1.06/1.27	tff(zf_stmt_15, axiom,
1.06/1.27	  (upairequniteq <=>
1.06/1.27	   (![Xx,Xy,Xz]:
1.06/1.27	      ((app_encode_app($i,$i,
1.06/1.27	                       app_encode_app($i,app_encode_fun($i,$i),setadjoin,Xx),
1.06/1.27	                       app_encode_app($i,$i,
1.06/1.27	                                      app_encode_app($i,
1.06/1.27	                                                     app_encode_fun($i,$i),
1.06/1.27	                                                     setadjoin,Xy),
1.06/1.27	                                      emptyset)) =
1.06/1.27	        app_encode_app($i,$i,
1.06/1.27	                       app_encode_app($i,app_encode_fun($i,$i),setadjoin,Xz),
1.06/1.27	                       emptyset)) =>
1.06/1.27	       (Xx = Xy))))).
1.06/1.27	tff('31', plain,
1.06/1.27	    ![X17, X18, X19]:
1.06/1.27	      (app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, X18), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, X19), 
1.06/1.27	           emptyset))
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X17), 
1.06/1.27	             emptyset)
1.06/1.27	       | X18 = X19
1.06/1.27	       | ~ upairequniteq),
1.06/1.27	    inference('cnf', [status(esa)], [zf_stmt_15])).
1.06/1.27	tff('32', plain, upairequniteq, inference('cnf', [status(esa)], [zf_stmt_0])).
1.06/1.27	tff('33', plain,
1.06/1.27	    ![X17, X18, X19]:
1.06/1.27	      (app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, X18), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, X19), 
1.06/1.27	           emptyset))
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X17), 
1.06/1.27	             emptyset)
1.06/1.27	       | X18 = X19
1.06/1.27	       | ~ $true),
1.06/1.27	    inference('demod', [status(thm)], ['31', '32'])).
1.06/1.27	tff('34', plain,
1.06/1.27	    ![X17, X18, X19]:
1.06/1.27	      (X18 = X19
1.06/1.27	       | app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, X18), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X19), 
1.06/1.27	             emptyset))
1.06/1.27	          != app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, X17), 
1.06/1.27	               emptyset)),
1.06/1.27	    inference('simplify', [status(thm)], ['33'])).
1.06/1.27	tff('35', plain,
1.06/1.27	    ![X0]:
1.06/1.27	      (app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	         emptyset)
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X0), 
1.06/1.27	             emptyset)
1.06/1.27	       | sk_Xu2 = sk_Xx5
1.06/1.27	       | sk_Xz4 = sk_Xu2),
1.06/1.27	    inference('sup-', [status(thm)], ['30', '34'])).
1.06/1.27	tff('36', plain, (sk_Xz4 = sk_Xu2 | sk_Xu2 = sk_Xx5),
1.06/1.27	    inference('eq_res', [status(thm)], ['35'])).
1.06/1.27	tff('37', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	           emptyset)), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	               emptyset))), emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	              emptyset)), 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	              app_encode_app($i, $i, 
1.06/1.27	                app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	                emptyset)), emptyset))
1.06/1.27	     | sk_Xu2 = sk_Xx5),
1.06/1.27	    inference('sup+', [status(thm)], ['30', '4'])).
1.06/1.27	tff('38', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	           emptyset)), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xy5), 
1.06/1.27	               emptyset))), emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	              emptyset)), 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	              app_encode_app($i, $i, 
1.06/1.27	                app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	                app_encode_app($i, $i, 
1.06/1.27	                  app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                    sk_Xu2), emptyset))), emptyset))
1.06/1.27	     | sk_Xu2 = sk_Xx5),
1.06/1.27	    inference('sup+', [status(thm)], ['36', '4'])).
1.06/1.27	tff('39', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	           emptyset)), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset)), emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	              emptyset)), 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	              app_encode_app($i, $i, 
1.06/1.27	                app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	                app_encode_app($i, $i, 
1.06/1.27	                  app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                    sk_Xu2), emptyset))), emptyset))
1.06/1.27	     | sk_Xu2 = sk_Xx5
1.06/1.27	     | sk_Xu2 = sk_Xx5),
1.06/1.27	    inference('sup+', [status(thm)], ['37', '38'])).
1.06/1.27	tff('40', plain,
1.06/1.27	    (sk_Xu2 = sk_Xx5
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	             emptyset)), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	               emptyset)), emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	              app_encode_app($i, $i, 
1.06/1.27	                app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	                emptyset)), 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                app_encode_app($i, $i, 
1.06/1.27	                  app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                    sk_Xz4), 
1.06/1.27	                  app_encode_app($i, $i, 
1.06/1.27	                    app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                      sk_Xu2), emptyset))), emptyset))),
1.06/1.27	    inference('simplify', [status(thm)], ['39'])).
1.06/1.27	tff('41', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	           emptyset)), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset)), emptyset))
1.06/1.27	      = app_encode_app($i, $i, 
1.06/1.27	          app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	              emptyset)), 
1.06/1.27	          app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	              app_encode_app($i, $i, 
1.06/1.27	                app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	                app_encode_app($i, $i, 
1.06/1.27	                  app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                    sk_Xu2), emptyset))), emptyset))
1.06/1.27	     | sk_Xu2 = sk_Xx5
1.06/1.27	     | sk_Xu2 = sk_Xx5),
1.06/1.27	    inference('sup+', [status(thm)], ['36', '40'])).
1.06/1.27	tff('42', plain,
1.06/1.27	    (sk_Xu2 = sk_Xx5
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	             emptyset)), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	               emptyset)), emptyset))
1.06/1.27	        = app_encode_app($i, $i, 
1.06/1.27	            app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	              app_encode_app($i, $i, 
1.06/1.27	                app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	                emptyset)), 
1.06/1.27	            app_encode_app($i, $i, 
1.06/1.27	              app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                app_encode_app($i, $i, 
1.06/1.27	                  app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                    sk_Xu2), 
1.06/1.27	                  app_encode_app($i, $i, 
1.06/1.27	                    app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                      sk_Xu2), emptyset))), emptyset))),
1.06/1.27	    inference('simplify', [status(thm)], ['41'])).
1.06/1.27	tff(zf_stmt_11, axiom,
1.06/1.27	  (setukpairinjL2 <=>
1.06/1.27	   (![Xx,Xy,Xz,Xu]:
1.06/1.27	      ((app_encode_app($i,$i,
1.06/1.27	                       app_encode_app($i,app_encode_fun($i,$i),setadjoin,
1.06/1.27	                                      app_encode_app($i,$i,
1.06/1.27	                                                     app_encode_app($i,
1.06/1.27	                                                                    app_encode_fun(
1.06/1.27	                                                                    $i,$i),
1.06/1.27	                                                                    setadjoin,
1.06/1.27	                                                                    Xx),
1.06/1.27	                                                     emptyset)),
1.06/1.27	                       app_encode_app($i,$i,
1.06/1.27	                                      app_encode_app($i,
1.06/1.27	                                                     app_encode_fun($i,$i),
1.06/1.27	                                                     setadjoin,
1.06/1.27	                                                     app_encode_app($i,$i,
1.06/1.27	                                                                    app_encode_app(
1.06/1.27	                                                                    $i,
1.06/1.27	                                                                    app_encode_fun(
1.06/1.27	                                                                    $i,$i),
1.06/1.27	                                                                    setadjoin,
1.06/1.27	                                                                    Xx),
1.06/1.27	                                                                    app_encode_app(
1.06/1.27	                                                                    $i,$i,
1.06/1.27	                                                                    app_encode_app(
1.06/1.27	                                                                    $i,
1.06/1.27	                                                                    app_encode_fun(
1.06/1.27	                                                                    $i,$i),
1.06/1.27	                                                                    setadjoin,
1.06/1.27	                                                                    Xy),
1.06/1.27	                                                                    emptyset))),
1.06/1.27	                                      emptyset)) =
1.06/1.27	        app_encode_app($i,$i,
1.06/1.27	                       app_encode_app($i,app_encode_fun($i,$i),setadjoin,
1.06/1.27	                                      app_encode_app($i,$i,
1.06/1.27	                                                     app_encode_app($i,
1.06/1.27	                                                                    app_encode_fun(
1.06/1.27	                                                                    $i,$i),
1.06/1.27	                                                                    setadjoin,
1.06/1.27	                                                                    Xz),
1.06/1.27	                                                     emptyset)),
1.06/1.27	                       app_encode_app($i,$i,
1.06/1.27	                                      app_encode_app($i,
1.06/1.27	                                                     app_encode_fun($i,$i),
1.06/1.27	                                                     setadjoin,
1.06/1.27	                                                     app_encode_app($i,$i,
1.06/1.27	                                                                    app_encode_app(
1.06/1.27	                                                                    $i,
1.06/1.27	                                                                    app_encode_fun(
1.06/1.27	                                                                    $i,$i),
1.06/1.27	                                                                    setadjoin,
1.06/1.27	                                                                    Xz),
1.06/1.27	                                                                    app_encode_app(
1.06/1.27	                                                                    $i,$i,
1.06/1.27	                                                                    app_encode_app(
1.06/1.27	                                                                    $i,
1.06/1.27	                                                                    app_encode_fun(
1.06/1.27	                                                                    $i,$i),
1.06/1.27	                                                                    setadjoin,
1.06/1.27	                                                                    Xu),
1.06/1.27	                                                                    emptyset))),
1.06/1.27	                                      emptyset))) =>
1.06/1.27	       (Xx = Xz))))).
1.06/1.27	tff('43', plain,
1.06/1.27	    ![X9, X10, X11, X12]:
1.06/1.27	      (app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X11), 
1.06/1.27	             emptyset)), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, X11), 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X12), 
1.06/1.27	                 emptyset))), emptyset))
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X9), 
1.06/1.27	                 emptyset)), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                 app_encode_app($i, $i, 
1.06/1.27	                   app_encode_app($i, app_encode_fun($i, $i), setadjoin, X9), 
1.06/1.27	                   app_encode_app($i, $i, 
1.06/1.27	                     app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                       X10), emptyset))), emptyset))
1.06/1.27	       | X11 = X9
1.06/1.27	       | ~ setukpairinjL2),
1.06/1.27	    inference('cnf', [status(esa)], [zf_stmt_11])).
1.06/1.27	tff('44', plain, setukpairinjL2, inference('cnf', [status(esa)], [zf_stmt_0])).
1.06/1.27	tff('45', plain,
1.06/1.27	    ![X9, X10, X11, X12]:
1.06/1.27	      (app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, X11), 
1.06/1.27	             emptyset)), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, X11), 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X12), 
1.06/1.27	                 emptyset))), emptyset))
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X9), 
1.06/1.27	                 emptyset)), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                 app_encode_app($i, $i, 
1.06/1.27	                   app_encode_app($i, app_encode_fun($i, $i), setadjoin, X9), 
1.06/1.27	                   app_encode_app($i, $i, 
1.06/1.27	                     app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                       X10), emptyset))), emptyset))
1.06/1.27	       | X11 = X9
1.06/1.27	       | ~ $true),
1.06/1.27	    inference('demod', [status(thm)], ['43', '44'])).
1.06/1.27	tff('46', plain,
1.06/1.27	    ![X9, X10, X11, X12]:
1.06/1.27	      (X11 = X9
1.06/1.27	       | app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, X11), 
1.06/1.27	               emptyset)), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X11), 
1.06/1.27	                 app_encode_app($i, $i, 
1.06/1.27	                   app_encode_app($i, app_encode_fun($i, $i), setadjoin, X12), 
1.06/1.27	                   emptyset))), emptyset))
1.06/1.27	          != app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                 app_encode_app($i, $i, 
1.06/1.27	                   app_encode_app($i, app_encode_fun($i, $i), setadjoin, X9), 
1.06/1.27	                   emptyset)), 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                   app_encode_app($i, $i, 
1.06/1.27	                     app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                       X9), 
1.06/1.27	                     app_encode_app($i, $i, 
1.06/1.27	                       app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                         X10), emptyset))), emptyset))),
1.06/1.27	    inference('simplify', [status(thm)], ['45'])).
1.06/1.27	tff('47', plain,
1.06/1.27	    ![X0, X1]:
1.06/1.27	      (app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	             emptyset)), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	               emptyset)), emptyset))
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X1), 
1.06/1.27	                 emptyset)), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                 app_encode_app($i, $i, 
1.06/1.27	                   app_encode_app($i, app_encode_fun($i, $i), setadjoin, X1), 
1.06/1.27	                   app_encode_app($i, $i, 
1.06/1.27	                     app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                       X0), emptyset))), emptyset))
1.06/1.27	       | sk_Xu2 = sk_Xx5
1.06/1.27	       | sk_Xx5 = X1),
1.06/1.27	    inference('sup-', [status(thm)], ['37', '46'])).
1.06/1.27	tff('48', plain,
1.06/1.27	    (app_encode_app($i, $i, 
1.06/1.27	       app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	           emptyset)), 
1.06/1.27	       app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset)), emptyset))
1.06/1.27	      != app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	               emptyset)), 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                   sk_Xx5), emptyset)), emptyset))
1.06/1.27	     | sk_Xu2 = sk_Xx5
1.06/1.27	     | sk_Xx5 = sk_Xu2
1.06/1.27	     | sk_Xu2 = sk_Xx5),
1.06/1.27	    inference('sup-', [status(thm)], ['42', '47'])).
1.06/1.27	tff('49', plain, sk_Xu2 = sk_Xx5,
1.06/1.27	    inference('simplify', [status(thm)], ['48'])).
1.06/1.27	tff('50', plain,
1.06/1.27	    (sk_Xy5 = sk_Xz4
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xz4), 
1.06/1.27	         emptyset)
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	             emptyset)),
1.06/1.27	    inference('demod', [status(thm)], ['26', '49'])).
1.06/1.27	tff('51', plain,
1.06/1.27	    ![X0, X1]:
1.06/1.27	      (app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	             emptyset)), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xx5), 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                   sk_Xy5), emptyset))), emptyset))
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X1), 
1.06/1.27	                 emptyset)), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                 app_encode_app($i, $i, 
1.06/1.27	                   app_encode_app($i, app_encode_fun($i, $i), setadjoin, X1), 
1.06/1.27	                   app_encode_app($i, $i, 
1.06/1.27	                     app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                       X0), emptyset))), emptyset))
1.06/1.27	       | sk_Xz4 = X1),
1.06/1.27	    inference('sup-', [status(thm)], ['4', '46'])).
1.06/1.27	tff('52', plain,
1.06/1.27	    ![X0, X1]:
1.06/1.27	      (app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	           app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	             emptyset)), 
1.06/1.27	         app_encode_app($i, $i, 
1.06/1.27	           app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                   sk_Xy5), emptyset))), emptyset))
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	               app_encode_app($i, $i, 
1.06/1.27	                 app_encode_app($i, app_encode_fun($i, $i), setadjoin, X1), 
1.06/1.27	                 emptyset)), 
1.06/1.27	             app_encode_app($i, $i, 
1.06/1.27	               app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                 app_encode_app($i, $i, 
1.06/1.27	                   app_encode_app($i, app_encode_fun($i, $i), setadjoin, X1), 
1.06/1.27	                   app_encode_app($i, $i, 
1.06/1.27	                     app_encode_app($i, app_encode_fun($i, $i), setadjoin, 
1.06/1.27	                       X0), emptyset))), emptyset))
1.06/1.27	       | sk_Xz4 = X1),
1.06/1.27	    inference('demod', [status(thm)], ['51', '49', '49'])).
1.06/1.27	tff('53', plain, sk_Xz4 = sk_Xu2, inference('eq_res', [status(thm)], ['52'])).
1.06/1.27	tff('54', plain,
1.06/1.27	    (sk_Xy5 = sk_Xu2
1.06/1.27	     | app_encode_app($i, $i, 
1.06/1.27	         app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	         emptyset)
1.06/1.27	        != app_encode_app($i, $i, 
1.06/1.27	             app_encode_app($i, app_encode_fun($i, $i), setadjoin, sk_Xu2), 
1.06/1.27	             emptyset)),
1.06/1.27	    inference('demod', [status(thm)], ['50', '53', '53'])).
1.06/1.27	tff('55', plain, sk_Xy5 = sk_Xu2,
1.06/1.27	    inference('simplify', [status(thm)], ['54'])).
1.06/1.27	tff('56', plain, $false,
1.06/1.27	    inference('simplify_reflect-', [status(thm)], ['55', '15'])).
1.06/1.27	
1.06/1.27	% SZS output end Refutation
1.06/1.27	EOF
